312105253 has 2 divisors, whose sum is σ = 312105254. Its totient is φ = 312105252.

The previous prime is 312105217. The next prime is 312105263. The reversal of 312105253 is 352501213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230979204 + 81126049 = 15198^2 + 9007^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312105253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312105263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156052626 + 156052627.

It is an arithmetic number, because the mean of its divisors is an integer number (156052627).

Almost surely, 2^312105253 is an apocalyptic number.

It is an amenable number.

312105253 is a deficient number, since it is larger than the sum of its proper divisors (1).

312105253 is an equidigital number, since it uses as much as digits as its factorization.

312105253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 312105253 is about 17666.5008702912. The cubic root of 312105253 is about 678.3185482285.

Adding to 312105253 its reverse (352501213), we get a palindrome (664606466).

It can be divided in two parts, 31210 and 5253, that added together give a palindrome (36463).

The spelling of 312105253 in words is "three hundred twelve million, one hundred five thousand, two hundred fifty-three".